Extensions 1→N→G→Q→1 with N=C₃×Q₁₆ and Q=D₅

Direct product G=N×Q with N=C₃×Q₁₆ and Q=D₅

		d	ρ	Label	ID
C₃×D₅×Q₁₆		240	4	C3xD5xQ16	480,710

Semidirect products G=N:Q with N=C₃×Q₁₆ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₁₆)⋊₁D₅ = C₈.₆D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×Q₁₆	240	4+	(C3xQ16):1D5	480,188
(C₃×Q₁₆)⋊₂D₅ = Q₁₆×D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×Q₁₆	240	4-	(C3xQ16):2D5	480,882
(C₃×Q₁₆)⋊₃D₅ = D₁₂₀⋊₈C₂	φ: D₅/C₅ → C₂ ⊆ Out C₃×Q₁₆	240	4+	(C3xQ16):3D5	480,884
(C₃×Q₁₆)⋊₄D₅ = Q₁₆⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×Q₁₆	240	4	(C3xQ16):4D5	480,883
(C₃×Q₁₆)⋊₅D₅ = C₃×C₅⋊SD₃₂	φ: D₅/C₅ → C₂ ⊆ Out C₃×Q₁₆	240	4	(C3xQ16):5D5	480,106
(C₃×Q₁₆)⋊₆D₅ = C₃×Q₁₆⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×Q₁₆	240	4	(C3xQ16):6D5	480,711
(C₃×Q₁₆)⋊₇D₅ = C₃×Q₈.D₁₀	φ: trivial image	240	4	(C3xQ16):7D5	480,712

Non-split extensions G=N.Q with N=C₃×Q₁₆ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₁₆).₁D₅ = C₁₅⋊₇Q₃₂	φ: D₅/C₅ → C₂ ⊆ Out C₃×Q₁₆	480	4-	(C3xQ16).1D5	480,189
(C₃×Q₁₆).₂D₅ = C₃×C₅⋊Q₃₂	φ: D₅/C₅ → C₂ ⊆ Out C₃×Q₁₆	480	4	(C3xQ16).2D5	480,107

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